1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pshichka [43]
3 years ago
7

Find the vertex of the equation x2-4x+5=0

Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

(2, 1).

Step-by-step explanation:

x^2 - 4x + 5 = 0

(x - 2)^2 - 4 + 5 = 0

(x - 2)^2 + 1 = 0

The vertex is  at (2, 1).

You might be interested in
What type of line would the equation<br> y &lt; 7x + 8 have?<br> A dashed line or<br> A solid line?
-BARSIC- [3]

Answer:

A dashed line

Step-by-step explanation:

Because it is just a less than sign but if it was a less than or equal to it would be a solid line.

Hope That Helped :)    

5 0
2 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
2 years ago
7z - 3 + 2z = 33<br>What is 7?
Paladinen [302]
A constant because it a number
6 0
3 years ago
A farmer is putting apples and oranges into boxes to sell at a market. He has 64 apples and 24 oranges . What is the greatest nu
dexar [7]

Well you could do 8 apple and 3 oranges per box since there are 64 apples and 24 oranges. You can either use trial and error to see what what values give you an answer of 8 for each amount of fruit. Or you can find the greatest common factor which happens to be 8 in this case, and divide each by that can come to the conclusion that 8 apples go into 8 boxes and 3 oranges do into 8 boxes Over all the answer would be 8 apples and oranges per each box, to have a total number of 8 boxes.

I hope this helps!

5 0
3 years ago
How do you convert 24411.41178 to money form?​
cricket20 [7]
In money form there can’t be more than two decimal places so it’s $24,411.41
3 0
3 years ago
Other questions:
  • Which polygon appears to be regular<br> Figure A<br> Figure B<br> Figure C<br> Figure D
    6·2 answers
  • 3x-12=24 select equations that also have x as a souloution
    5·1 answer
  • The functions f(x) = –(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-the-square method. Is the ve
    5·1 answer
  • Ronnie is using 71 Legos to make a model of a castle. The castle is in the shape of a rectangle and is one cube high. How many d
    5·2 answers
  • What is 4+4<br> Hahahahaahahahahahhaha<br> I reallly need the aenswer not jk pls
    15·2 answers
  • What is the equation of the line?
    9·1 answer
  • 295 words in 6 minutes ; What are the words/min.? (round to the nearest tenth)
    11·2 answers
  • What is 5 to the power of 8 over 5 to the power of 3 multiplied by 4
    15·2 answers
  • -233+23x&gt;=-3+40(x-10)<br><br><br>Awnser:<br><br><br><br>Explanation:​
    6·1 answer
  • Write a function rule that represents b less than 8 is a.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!